212937984 has 252 divisors, whose sum is σ = 732782176. Its totient is φ = 60466176.

The previous prime is 212937983. The next prime is 212938003. The reversal of 212937984 is 489739212.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212937983) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306287 + ... + 1306449.

Almost surely, 2^212937984 is an apocalyptic number.

212937984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366391088).

212937984 is an abundant number, since it is smaller than the sum of its proper divisors (519844192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212937984 is an frugal number, since it uses more digits than its factorization.

212937984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 212937984 is about 14592.3947315031. The cubic root of 212937984 is about 597.1512962164.

The spelling of 212937984 in words is "two hundred twelve million, nine hundred thirty-seven thousand, nine hundred eighty-four".